30 terms

base

In exponential notation, the number or variable that undergoes repeated multiplication. In the diagram, the "a" is the _?_.

exponent

In exponential notation, the number of times the base is used as a factor. In the diagram, the "m" is the _?_.

integers

The numbers ... -3, -2, -1, 0, 1, 2, 3 ... .

positive number

A number greater than zero.

standard notation

A way to write numbers by using digits. Example: 254 = 2 hundred fifty-four.

power

An expression in the form depicted below or the value of such an expression. Example: 2 to the fourth power = 16.

rational number

A number that can be written as the quotient of two integers.

real numbers

The set of _?_ numbers consisting of the positive numbers, the negative numbers, and zero. The _?_ numbers can be thought of as the set of all decimals, finite or infinite in length.

scientific notation

A method of writing very large or very small numbers by using powers of 10.

whole number

The positive integers together with zero. Example: 0, 1, 2, 3, 4 ... .

Zero Exponent Property

A nonzero number to the zero power is 1.

Negative Exponent Property

What property is depicted below?

Product of Powers Property

To multiply powers that have the same base, add the exponents.

Quotient of Powers Property

To divide powers that have the same base, subtract the exponents.

Power of a Product Property

To find a power of a _?_, find the power of each factor and multiply.

Power of a Power Property

To find a _?_ of a _?_, multiply the exponents.

Power of a Quotient Property

To find a power of a _?_, find the power of the numerator and the power of the denominator and divide.

Zero

Solve:

1

Solve:

- 1

Solve:

Negative One

Solve: Answer using words.

Commutative Property of Addition

The order in which two numbers are added does not change the sum.

Commutative Property of Multiplication

The order in which two numbers are multiplied does not change the product.

Associative Property of Addition

The way three numbers are grouped when adding does not change the sum.

Associative Property of Multiplication

The way three numbers are grouped when multiplying does not change the product.

Left

Answer the question on the picture.

Right

Answer the question on the picture.

Base

In exponential notation, the number that undergoes repeated multiplication

Exponent

In exponential notation, the number of times the base is used as a factor.

Power

An expression in the form depicted in this diagram. Includes the entire expression; the base and the exponent.